Question

If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm , then Find :

i) Radius of its Base .
ii) Its Volume (Use π = 3.14)

Answer 1

qᴏᴇꜱᴛɪᴏɴ :-

If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm , then Find :

i) Radius of its Base .

ii) Its Volume (Use π = 3.14)

ᴀɴꜱᴡᴇʀ :-

(¡) ʀ=3ᴄᴍ

(¡¡) 141.3ᴄᴍ³

$\red \bigstar \: solution$

(¡) lateral surface of the cylinder is 2πrh

=> 94.2cm²

=> 2×3.14×r×5=94.2cm²

$r = \frac{94.2}{31.4} cm$

=> r= 3cm

(¡¡) volume of the cylinder

=>πr²h= 3.14×(3)²×5cm³

=> 3.14×9×5

=>141.3cm³

(volume of cylinder => 141. 3cm³)